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Finding the Third Proportional to 3,686.63 and 5,716.13

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Solution

The third proportional to 3,686.63 and 5,716.13 is: 8,862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.63 : 5,716.13 = 5,716.13 : x
  2. Step 2: Convert to fraction form
    3,686.63/5,716.13 = 5,716.13/x
  3. Step 3: Cross multiply
    3,686.63x = 5,716.13 × 5,716.13
  4. Step 4: Simplify right side
    3,686.63x = 32,674,085.02
  5. Step 5: Solve for x
    x = 32,674,085.02/3,686.63
  6. Step 6: Final answer
    x = 8,862.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.